Journal ArticleDOI
Maximum Likelihood Estimation of the Parameters of the Weibull Distribution by Modified Quasilinearization
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In this article, an iterative procedure is given for joint maximum likelihood estimation of the three parameters of the Weibull population, where the likelihood function is forned and the maximum likelihood equations are obtained.Abstract:
An iterative procedure is given for joint maximum likelihood estimation of the three parameters of the Weibull population. For this population, the likelihood function is forned and the maximum likelihood equations are obtained. Simultaneous solution of these equations yields joint maximum likelihood estimators for the three parameters. The proposed iterative procedure is a modified quasilinearization algorithm for solving nonlinear equations with bounded variables. Numerical results are given in which the parameters are estimated from real and from simulated life test data drawn from the Weibull population.read more
Citations
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Estimating Parameters in Continuous Univariate Distributions with a Shifted Origin
TL;DR: In this paper, a general method of estimating parameters in continuous univariate distributions is proposed, which is especially suited to cases where one of the parameters is an unknown shifted origin and is shown to give consistent estimators with asymptotic efficiency equal to ML estimators when these exist.
Journal ArticleDOI
Low-Flow Frequency Analysis Using Probability-Plot Correlation Coefficients
TL;DR: In this article, a probabilistic correlation-plot correlation-coefficient (PPCC) test was introduced to test the normal, two-parameter lognormal and Gumbel hypotheses.
Journal ArticleDOI
Maximum Likelihood Estimation for the Three Parameter Weibull Distribution Based on Censored Samples
TL;DR: In this article, the authors developed maximum likelihood estimators for the three parameter Weibull distribution based on various left, and right, censored data situations, and the asymptotic variance-covariance matrix of the estimators is given.
Journal ArticleDOI
Reliability analysis : Optimal inspection and maintenance schedules of failing systems
TL;DR: A review of the literature related to optimal inspection and maintenance schedules of failing systems can be found in this article, where the authors present a state-of-the-art review.
Journal ArticleDOI
An Evaluation of Exponential and Weibull Test Plans
H. Leon Harter,Albert H. Moore +1 more
TL;DR: In this paper, a simple modification of these plans for use when life has a Weibull distribution with known shape parameter not equal to one, and an adaptive test procedure was proposed.
References
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Journal ArticleDOI
Maximum-Likelihood Estimation of the Parameters of Gamma and Weibull Populations from Complete and from Censored Samples
H. Leon Harter,Albert H. Moore +1 more
TL;DR: In this paper, a joint maximum likelihood estimation of the three parameters of the Gamma and Weibull populations is presented, from complete and censored samples, from the first m failure times in simulated life tests of n items.
Journal ArticleDOI
Some Percentile Estimators for Weibull Parameters
TL;DR: In this article, a two-observation percentile estimator for the shape parameter of the Weibull distribution, based on the 17th and 97th sample percentiles, is proposed which is asymptotically about 66% efficient when compared with the MLE (maximum likelihood estimator).
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Maximum-Likelihood Estimation of the Parameters of Gamma and Weibull Populations from Complete and from Censored Samples
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